Unverified50% confidenceFactExact time
The Sigmoid function is defined as σ(z) = 1 / (1 + e^{-z}), and its derivative has the concise form σ'(z) = σ(z)(1 - σ(z)).
1
Sources
50%
Confidence
Long-term
Relevance
10/19/2026
First Seen
Sources
Building a Neural Network from Scratch with NumPy: A Hands-On Deep Dive into Backpropagation
redditr/deeplearning10/19/2026
Related Entities
Related Claims
UnverifiedThe Liouville function λ(a) = (-1)^ω(a), where ω(a) denotes the number of prime factors of a counted with multiplicity.65% similarUnverified导数的数值近似公式为 (f(a+h)-f(a))/h,源自微积分中极限的定义64% similarUnverifiedThe closed-form solution for linear regression coefficients is β1 = Σ(xi-x̄)(yi-ȳ)/Σ(xi-x̄)², β0 = ȳ - β1·x̄62% similarUnverifiedThe polar coordinate representation of a complex number is z = r(cosθ + i sinθ), which with the help of Euler's formula can be abbreviated as z = re^{iθ}.62% similarUnverifiedThe Hölder ball H_1^s([0,1]^D) requires all seminorms of the function to be at most 1, and is therefore a bounded set of smooth functions.60% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/1069365API
curl https://kongchang.com/api/v1/knowledge/claims/1069365MCP
get_claim(id=1069365)